This set of worksheets will help your students practice converting word problems into algebraic equations.

These worksheets work on converting word problems into algebraic expressions this is a great skill to have. As a result of understanding this topic you will be well prepared for the real world. This set of worksheets introduces your students to the concept of deriving expressions from context word clues, provides examples, short practice sets, longer sets of questions, and quizzes. Use these worksheets to teach your students how to create algebraic expressions from mathematical statements and text-based sentences. Included are several independent practice sheets covering both basic and intermediate level of expression writing.

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Print Writing Numerical Expressions Worksheets

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Writing Sentences as Expressions Independent Practice 1 Worksheet

Writing Sentences as Expressions Independent Practice 1

Create an expression or equation for each of the following statements. Here is an example: A number increased by fifteen is nineteen. If you called this unknown "x", we would write it as x + 15 = 19.

Independent Practice 2 Worksheet

Independent Practice 2

This continues on working on the skills we covered on the other worksheet. You will create an math expression or equation for each of the following statements. Example: Twenty four decreased by a number is twelve.

Intermediate Level Expression Writing Independent Practice 1 Worksheet

Intermediate Level Expression Writing Independent Practice 1

The expressions that you will begin to write for these will be bit more advanced and may include inequalities that you will want to begin to master writing. Here is an example problem: Bill is y years old. In 10 years, he will be twenty years old.

Intermediate Level Writing Expressions Independent Practice 2 Worksheet

Intermediate Level Writing Expressions Independent Practice 2

This is the 2nd worksheet that focuses on problems that are at a more advanced level. You will begin to compose more complicated math expressions.

Intermediate Equation Writing Worksheet

Intermediate Equation Writing Worksheet

In this section, you will begin to write equations from math statements. An example would be the math sentence: Thrice a number decreased from seventy is twenty two.

How to Write a Numerical Expression

The mathematical cosmos can be compared to a sophisticated and intricate spider web. While there are several mathematical formulae and expressions, the numerical expression is the foundation of all fundamental mathematical expressions.


The terms "Numerical" and "Expression," which together refer to the operations applied to the numbers, make up the term "Numerical Expression." The four basic arithmetic operations—addition, subtraction, multiplication, and division—are the building blocks of any mathematical equation.

Expressions in numbers can be written in various ways, from the most elementary (an equation for addition or subtraction) to the most complex (algebraic equations). Numerical expressions are used to answer both basic and complicated equations in mathematics.

The numbers can be expressed verbally and numerically in various ways. When used in mathematics, a numerical expression is an expression made up entirely of numbers and sometimes contains some operation symbols.

Addition, subtraction, multiplication, and division symbols are all instances of operation symbols. The radical sign (the square root symbol) and the absolute value symbol can both be used to express this.

The numerical approach's capacity to generate numerical answers for problems with no analytical solution is a key benefit.

Angles & Values

Unknown angles and values can be calculated with the use of numerical expressions. Using this method, one can improve our skill and aptitude in using logic. Having a firm grasp of on this concept makes it much easier to make important mathematical and practical decisions.

You need to be able to translate what someone says or writes into a numerical statement if you want to solve a problem involving language.

A fundamental advantage of the numerical technique is obtaining numerical solutions for problems without analytical solutions.

Solving Them

To solve the unknown angles and values, using numerical expressions is very necessary. This strategy is beneficial for enhancing one's ability and aptitude for logical reasoning. A solid understanding of this concept helps simplify making crucial mathematical and real-world choices. To answer a spoken or written word issue, it is essential to be able to convert the words into a numerical statement.

Any mathematical word problem may be solved by translating it into a numerical expression. By assessing and carefully understanding the word problem, we may devise an appropriate numerical equation to answer it. This may appear to be a complex subject, but we can find a solution with a thorough grasp of the application and derivation of numerical expressions.

A numeric expression evaluates any integer data type. A numeric expression can contain any combination of the following data types: Numeric literals, Numeric variables or formulae, Dimensions, Functions that generate numeric output, Date-related literals, variables, or functions.

In addition, any of these three-part expressions can be combined with arithmetic operators to create a more complicated numeric expression. We utilize arithmetic operators in numeric expressions containing numeric data, which yield a numeric result. We can also use arithmetic operators to get a date or a number from date expressions with both date and numeric data.

Combining numbers with various mathematical operators produces a numerical expression. There is no limit to the number of operators that may be included. Some numerical expressions have just one operator between two numbers, whereas others may contain many operators.


There are no special formatting requirements for this type of math beyond the presence of numbers and operation symbols. Others have at least two. The BODMAS rule can be applied to reduce further the complexity of numerical expressions with two or more operations.

According to this guideline, we must divide, multiply, add, and subtract when solving operations using brackets, powers, or roots. This allows for a systematic, numerical solution to be found to otherwise intractable problems.


Numeracy is a vital skill that we use often. Our financial, social, and professional success are all impacted by how familiar and competent we are with numbers. Even in mundane daily activities, such as creating a budget, paying bills, or keeping track of spending, numerical expressions are used.